<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The main first goal of this work is to introduce an Urysohn type Chlodovsky operators defined on positive real axis by using the Urysohn type interpolation of the given function <italic>f</italic> and bounded on every finite subinterval. The basis used in this construction are the Fréchet and Prenter Density Theorems together with Urysohn type operator values instead of the rational sampling values of the function. Afterwards, we will state some convergence results, which are generalization and extension of the theory of classical interpolation of functions to operators.</p></abstract>

The main first goal of this work is to introduce an Urysohn type Chlodovsky operators defined on positive real axis by using the Urysohn type interpolation of the given function f and bounded on every finite subinterval. The basis used in this construction are the Fréchet and Prenter Density Theorems together with Urysohn type operator values instead of the rational sampling values of the function. Afterwards, we will state some convergence results, which are generalization and extension of the theory of classical interpolation of functions to operators.

On the reconstruction via Urysohn-Chlodovsky operators

Faculty of Science and Arts, Department of Mathematics

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On the reconstruction via Urysohn-Chlodovsky operators"}

The main first goal of this work is to introduce an Urysohn type Chlodovsky operators defined on positive real axis by using the Urysohn type interpolation of...

On the reconstruction via Urysohn-Chlodovsky operators

Published Online: Dec 31, 2020

Page range: 19 - 32

Received: May 05, 2020

Accepted: Jul 27, 2020

DOI: https://doi.org/10.2478/gm-2020-0012

Keywords
Chlodovsky operators, Urysohn operators, Urysohn type Chlodovsky operators, approximation

© 2020 Harun Karsli, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On the reconstruction via Urysohn-Chlodovsky operators

Published Online: Dec 31, 2020

Page range: 19 - 32

Received: May 05, 2020

Accepted: Jul 27, 2020

DOI: https://doi.org/10.2478/gm-2020-0012

KeywordsChlodovsky operators, Urysohn operators, Urysohn type Chlodovsky operators, approximation

© 2020 Harun Karsli, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Chlodovsky operators, Urysohn operators, Urysohn type Chlodovsky operators, approximation